Answer:
The lines are perpendicular
Step-by-step explanation:
<u><em>The correct question is </em></u>
Are the two lines parallel, perpendicular, or neither? Explain your answer
3x + 7y = 15
7x − 3y = 6
we know that
If two lines are parallel, then their slopes are equal
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)
Remember that
The equation of the line in slope intercept form is equal to
where m is the slope
b is the y-intercept
we have
----> equation A
isolate the variable y and convert the equation in slope intercept form
The slope of the line A is
---> equation B
isolate the variable y and convert the equation in slope intercept form
The slope of the line B is
Compare the slopes
---> the lines are not parallel
so
The slopes are opposite reciprocal
therefore
The lines are perpendicular